Existence and multiplicity of $a$-harmonic solutions for a Steklov problem with variable exponents
Using variational methods, we prove in a different cases the existence and multiplicity of $a$-harmonic solutions for the following elleptic problem:\begin{equation*}\begin{gathered}div(a(x, \nabla u))=0, \quad \text{in }\Omega, \\a(x, \nabla u).\nu=f(x,u), \quad \text{on } \partial\Omega,\end{gathe...
Main Authors: | , , |
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Format: | Article |
Language: | English |
Published: |
Sociedade Brasileira de Matemática
2018-04-01
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Series: | Boletim da Sociedade Paranaense de Matemática |
Subjects: | |
Online Access: | https://periodicos.uem.br/ojs/index.php/BSocParanMat/article/view/31071 |